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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p><dfn class="terminology">Case 2</dfn> <span class="process-math">\(u(x, y)\)</span> is a function of <span class="process-math">\(y\)</span> onlySimilarly, the necessary condition that <span class="process-math">\(u(x, y)\)</span> is a function of <span class="process-math">\(y\)</span> only is established and it requires that</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
\frac{ \frac{\partial M}{\partial y}-\frac{\partial N}{\partial x} }{M}
\end{equation*}
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<p class="continuation">is a function of <span class="process-math">\(y\)</span> only and in this case <span class="process-math">\(u(y)\)</span> satisfies</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
\frac{1}{u} \frac{\textrm{d} u}{\textrm{d} y}=-\frac{ \frac{\partial M}{\partial y}-\frac{\partial N}{\partial x} }{M}
\end{equation*}
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<span class="incontext"><a href="sec2_6.html#p-53" class="internal">in-context</a></span>
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